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IFIP International Conference on Theoretical Computer Science

TCS 2012: Theoretical Computer Science pp 57–71Cite as

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Cinderella versus the Wicked Stepmother

Cinderella versus the Wicked Stepmother

  • Marijke Hans L. Bodlaender18,
  • Cor A. J. Hurkens19,
  • Vincent J. J. Kusters19,
  • Frank Staals19,
  • Gerhard J. Woeginger19 &
  • …
  • Hans Zantema19 
  • Conference paper
  • 1233 Accesses

  • 12 Citations

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7604)

Abstract

We investigate a combinatorial two-player game, in which one player wants to keep the behavior of an underlying water-bucket system stable whereas the other player wants to cause overflows. This game is motivated by data management applications in wireless sensor networks. We construct optimal strategies and characterize optimal bucket sizes for many instances of this game.

An Erratum for this chapter can be found at http://dx.doi.org/10.1007/978-3-642-33475-7_28

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References

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  6. Hurkens, A.J.C., Hurkens, C.A.J., Woeginger, G.J.: How Cinderella won the bucket game (and lived happily ever after). Mathematics Magazine 84, 285–290 (2011)

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  7. Polishchuk, V., Suomela, J.: Optimal Backlog in the Plane. In: Fekete, S. (ed.) ALGOSENSORS 2008. LNCS, vol. 5389, pp. 141–150. Springer, Heidelberg (2008)

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  8. Woeginger, G.J.: Combinatorics problem C5. In: Problem Shortlist of the 50th International Mathematical Olympiad, Bremen, Germany, pp. 33–35 (2009)

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Author information

Authors and Affiliations

  1. Dept. of Information and Computing Sciences, Universiteit Utrecht, The Netherlands

    Marijke Hans L. Bodlaender

  2. Dept. of Mathematics and Computer Science, TU Eindhoven, The Netherlands

    Cor A. J. Hurkens, Vincent J. J. Kusters, Frank Staals, Gerhard J. Woeginger & Hans Zantema

Authors
  1. Marijke Hans L. Bodlaender
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  2. Cor A. J. Hurkens
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  3. Vincent J. J. Kusters
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  4. Frank Staals
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  5. Gerhard J. Woeginger
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  6. Hans Zantema
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Editor information

Editors and Affiliations

  1. Centrum Wiskunde & Informatica (CWI), Science Park 123, 1098 XG, Amsterdam, The Netherlands

    Jos C. M. Baeten & Frank S. de Boer & 

  2. Microsoft Research, One Microsoft Way, 98052, Redmond, WA, USA

    Tom Ball

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© 2012 IFIP International Federation for Information Processing

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Bodlaender, M.H.L., Hurkens, C.A.J., Kusters, V.J.J., Staals, F., Woeginger, G.J., Zantema, H. (2012). Cinderella versus the Wicked Stepmother. In: Baeten, J.C.M., Ball, T., de Boer, F.S. (eds) Theoretical Computer Science. TCS 2012. Lecture Notes in Computer Science, vol 7604. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33475-7_5

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